《晓庵新法》中的常数系统

《晓庵新法》一书含有各种基本常数、导出常数、计算过程中的中间值900多个,第二卷中的200多个常数尤为重要,是推算这部历法的基础。因此,要理想解《晓庵新法》,首先要弄清每一个名词术语的具体含义。该文首先将对第二卷所列常数的含义进行详细的说明,对一些意义很不明确的术语,给出确定其含义的根据;其次,通过与《西洋新法历书》的常数系统进行比较,探讨《晓庵新法》数据系统的渊源;最后,还对《晓庵新法》中黄道距度的问题进行了探讨。

The Constant System Of Xiao'an Xinfa

Xiao'an Xinfa is one of the most difficult calendars. It contains more than 900 basic and inductive constants. Among them, those about 200 constants in the second volume are fundamental to the calculation of the calendar. Therefore, the key point for the interpretation of Xiao'an Xinfa is to find out the concrete meaning of every constant. This paper first aims at explaining their meanings and providing criterion of determination for some constants. Then it explores the origin of these constants by comparing with Xiyang Xinfa Lishu. Finally, it discusses some problems about the longitude difference of ecliptic.